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answer any three questions:5. if f(2)=4,...

answer any three questions:5. if f(2)=4,f'(2)=4, then evaluate `lim _(x rarr 2) (xf(2)-2f(x))/(x-2)`

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UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2019-EXERCISE
  1. answer any three questions: 3.if x>0, then show that log(1+x) > x/(1+x...

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  2. Find the differential equation of all circles which touch the x-axis a...

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  3. answer any three questions:5. if f(2)=4,f'(2)=4, then evaluate lim (x ...

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  4. answer any three questions:6. evaluate : int1^2 (xdx)/((x+1)(x+2))

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  5. show that A(2,3,-4),B (1,-2,3) and C(3,8,-11) are collinear.

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  6. if vec a= 5 hat i -hat j -3 hat k and vec b=hat i+3 hat j - 5 hat k , ...

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  7. (e)ANSWER ANY one question : 1. if P(A) =a and P(B)=b, then show that ...

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  8. if a and b are any two constants, then prove that Var (aX+b)=a^2Var(X)...

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  9. if tan ^(-1) x+tan ^(-1)y+tan ^(-1) z=pi/2 and x+y+z= sqrt3 , then sho...

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  10. (b) answer the following questions: 1. if A=[[1,2,2],[2,1,2],[2,2,1]],...

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  11. if AB=[[i,-i],[-i,i]] and B=[[1,-1],[-1,1]], then show that A^8=128B

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  12. Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]...

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  13. if cos y=x cos (a+y), (a!= 0) , then show that dy/dx= cos ^2(a+y)/sin ...

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  14. answer the foll. Questions 2. evaluate : int sqrt(1+sec x dx).

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  15. or, evaluate : int dx/((x-1)+ sqrt(x^2-1)

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  16. answer the foll. Questions 3. solve :(e^x+1)y dy-(y^2+1) e^x dx=0 , gi...

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  17. (d) answer ANY one question :1. bar a, bar b and bar c be three vector...

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  18. answer any one question 2. if sum of two unit vectors be a unit vector...

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  19. (e)answer any one question : 1. using integral calculus , find the are...

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  20. answer any one question 2. prove that int1^3 dx/(x^2(x+1))=2/3+ log (2...

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